- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- UBC Theses and Dissertations /
- On black holes in BMN plane wave
Open Collections
UBC Theses and Dissertations
UBC Theses and Dissertations
On black holes in BMN plane wave Hsien-Hang, Shieh
Abstract
In this thesis, we attempt to construct a black hole solution with BMN plane wave asymptotics. We find it to be a very complicated problem. Through explicit computations, we showed the Penrose limit of the Schwarzschild Anti de-Sitter spacetime do not result "in a background with event horizon, in accord with the no go theorems reviewed which suggest the symmetries of plane wave spacetimes are not compatible with the existence of regular event horizon. The detailed boundary and light cone structure of the BMN spacetime are studied. It is made clear that the conformal boundary of the plane wave is not related to the boundary of Anti-de Sitter. In order to understand the concept of temperature and thermal state in the BMN background, we study the response of an Unruh monople detector following various trajectories. The detector response function shows the vacuum state natural to the BMN plane wave has very different thermal behavior from the Minkowski vacuum. In particular, observers following any Killing trajectory will not regard the plane wave vacuum as a thermal state. This result can be viewed as a semi-classical verification of the no-go theorems. We also review the solution generating technique, the null Melvin twist and the correspondence principle of the black string solutions so generated in the plane wave geometry.
Item Metadata
Title |
On black holes in BMN plane wave
|
Creator | |
Publisher |
University of British Columbia
|
Date Issued |
2004
|
Description |
In this thesis, we attempt to construct a black hole solution with BMN plane wave asymptotics.
We find it to be a very complicated problem. Through explicit computations, we
showed the Penrose limit of the Schwarzschild Anti de-Sitter spacetime do not result "in a
background with event horizon, in accord with the no go theorems reviewed which suggest
the symmetries of plane wave spacetimes are not compatible with the existence of regular
event horizon. The detailed boundary and light cone structure of the BMN spacetime are
studied. It is made clear that the conformal boundary of the plane wave is not related to
the boundary of Anti-de Sitter. In order to understand the concept of temperature and
thermal state in the BMN background, we study the response of an Unruh monople detector
following various trajectories. The detector response function shows the vacuum state
natural to the BMN plane wave has very different thermal behavior from the Minkowski
vacuum. In particular, observers following any Killing trajectory will not regard the plane
wave vacuum as a thermal state. This result can be viewed as a semi-classical verification of
the no-go theorems. We also review the solution generating technique, the null Melvin twist
and the correspondence principle of the black string solutions so generated in the plane wave
geometry.
|
Extent |
5827522 bytes
|
Genre | |
Type | |
File Format |
application/pdf
|
Language |
eng
|
Date Available |
2009-11-24
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
|
DOI |
10.14288/1.0091653
|
URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
|
Graduation Date |
2004-11
|
Campus | |
Scholarly Level |
Graduate
|
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.